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Finding the Fourth Proportional to 524,219.80, 785,163.30 and 430,907.80

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Solution

The fourth proportional to 524,219.80, 785,163.30 and 430,907.80 is: 645,402.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,219.80 : 785,163.30 = 430,907.80 : x
  2. Step 2: Convert to fraction form
    524,219.80/785,163.30 = 430,907.80/x
  3. Step 3: Cross multiply
    524,219.80x = 785,163.30 × 430,907.80
  4. Step 4: Simplify right side
    524,219.80x = 338,332,990,243.74
  5. Step 5: Solve for x
    x = 338,332,990,243.74/524,219.80
  6. Step 6: Final answer
    x = 645,402.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.